3406122600 has 96 divisors (see below), whose sum is σ = 10568951520. Its totient is φ = 907441920.

The previous prime is 3406122593. The next prime is 3406122607. The reversal of 3406122600 is 62216043.

It is an interprime number because it is at equal distance from previous prime (3406122593) and next prime (3406122607).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3406122607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 869847 + ... + 873753.

It is an arithmetic number, because the mean of its divisors is an integer number (110093245).

Almost surely, 2^3406122600 is an apocalyptic number.

3406122600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284475760).

3406122600 is an abundant number, since it is smaller than the sum of its proper divisors (7162828920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3406122600 is a wasteful number, since it uses less digits than its factorization.

3406122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5379 (or 5370 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3406122600 is about 58361.9961961549. The cubic root of 3406122600 is about 1504.5966550087.

Adding to 3406122600 its reverse (62216043), we get a palindrome (3468338643).

The spelling of 3406122600 in words is "three billion, four hundred six million, one hundred twenty-two thousand, six hundred".